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Finding the Fourth Proportional to 264,970.58, 397,587.29 and 105,043.14

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Solution

The fourth proportional to 264,970.58, 397,587.29 and 105,043.14 is: 157,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,970.58 : 397,587.29 = 105,043.14 : x
  2. Step 2: Convert to fraction form
    264,970.58/397,587.29 = 105,043.14/x
  3. Step 3: Cross multiply
    264,970.58x = 397,587.29 × 105,043.14
  4. Step 4: Simplify right side
    264,970.58x = 41,763,816,840.47
  5. Step 5: Solve for x
    x = 41,763,816,840.47/264,970.58
  6. Step 6: Final answer
    x = 157,616.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.